Details

analyze1.3s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.6%	98.1%	0.3%	13
3.1%	96.6%	0.3%	14

sample35.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
6.0ms	155×	body	80	invalid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	25	16
1	25	16

prune1.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 z t))
0.0b	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp_binary64`
4×	`sum-log_binary64`
2×	`flip3-+_binary64` `*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64`
1×	`associate-+l+_binary64`

Counts

2 → 24

Calls

2 calls:

4.0ms	(+.f64 (.f64 x y) (.f64 z t))
7.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))

series98.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(+.f64 (.f64 x y) (.f64 z t))
62.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))

simplify56.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4975	546
1	4975	546

prune21.0ms

Filtered

23 candidates to 30 candidates (-30.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	27	3	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	4	31

Merged error: 0.0b

Counts

31 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(.f64 (cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t)))) (cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t)))))
1.0b	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
1.0b	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
1.0b	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `pow1/3_binary64` `flip-+_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 87

Calls

4 calls:

16.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t)))) (cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t)))))
8.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
6.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
6.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))

series837.0ms

Counts

4 → 12

Calls

4 calls:

322.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t)))) (cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t)))))
169.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
172.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
173.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))

simplify66.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5226	3217

prune97.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	98	5	103

Merged error: 0b

Counts

103 → 5

localize20.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
1.0b	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
1.0b	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
1.2b	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))) 6)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`unpow-prod-down_binary64`
6×	`cbrt-div_binary64`
5×	`pow1_binary64` `add-exp-log_binary64`
4×	`add-log-exp_binary64` `pow1/3_binary64` `add-cbrt-cube_binary64`
3×	`flip3-+_binary64` `pow-unpow_binary64` `flip-+_binary64`
2×	`pow-pow_binary64`
1×	`pow-to-exp_binary64` `sqr-pow_binary64` `pow-exp_binary64`

Counts

4 → 63

Calls

4 calls:

6.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
6.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
6.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
11.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))) 6)

series1.2s

Counts

4 → 12

Calls

4 calls:

172.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
168.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
166.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
681.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))) 6)

simplify97.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4942	1865
1	4942	1865

prune91.0ms

Filtered

58 candidates to 75 candidates (-29.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	75	5	80

Merged error: 0b

Counts

80 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 a b) (*.f64 a b))
0.3b	(.f64 (+.f64 (.f64 x y) (.f64 z t)) (+.f64 (.f64 x y) (*.f64 z t)))
3.3b	(-.f64 (.f64 (+.f64 (.f64 x y) (.f64 z t)) (+.f64 (.f64 x y) (.f64 z t))) (.f64 (.f64 a b) (.f64 a b)))
28.4b	(/.f64 (-.f64 (.f64 (+.f64 (.f64 x y) (.f64 z t)) (+.f64 (.f64 x y) (.f64 z t))) (.f64 (.f64 a b) (.f64 a b))) (-.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

50×	`pow1_binary64`
20×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
19×	`add-sqr-sqrt_binary64`
18×	`pow-prod-down_binary64`
17×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
12×	`times-frac_binary64`
9×	`cbrt-unprod_binary64` `prod-exp_binary64`
6×	`flip3-+_binary64` `add-log-exp_binary64` `flip-+_binary64`
5×	`pow-prod-up_binary64` `difference-of-squares_binary64` `pow-sqr_binary64`
4×	`swap-sqr_binary64` `associate-r_binary64` `associate-l_binary64` `associate-/l*_binary64` `frac-times_binary64`
3×	`associate-/r*_binary64` `flip3--_binary64` `pow-plus_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `associate-r/_binary64` `distribute-lft-in_binary64` `associate-/r/_binary64` `distribute-rgt-in_binary64` `pow2_binary64` `associate--l+_binary64` `associate-l/_binary64` `*-commutative_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

4 → 119

Calls

4 calls:

7.0ms	(.f64 (.f64 a b) (*.f64 a b))
11.0ms	(.f64 (+.f64 (.f64 x y) (.f64 z t)) (+.f64 (.f64 x y) (*.f64 z t)))
12.0ms	(-.f64 (.f64 (+.f64 (.f64 x y) (.f64 z t)) (+.f64 (.f64 x y) (.f64 z t))) (.f64 (.f64 a b) (.f64 a b)))
21.0ms	(/.f64 (-.f64 (.f64 (+.f64 (.f64 x y) (.f64 z t)) (+.f64 (.f64 x y) (.f64 z t))) (.f64 (.f64 a b) (.f64 a b))) (-.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b)))

series850.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(.f64 (.f64 a b) (*.f64 a b))
57.0ms	(.f64 (+.f64 (.f64 x y) (.f64 z t)) (+.f64 (.f64 x y) (*.f64 z t)))
484.0ms	(-.f64 (.f64 (+.f64 (.f64 x y) (.f64 z t)) (+.f64 (.f64 x y) (.f64 z t))) (.f64 (.f64 a b) (.f64 a b)))
282.0ms	(/.f64 (-.f64 (.f64 (+.f64 (.f64 x y) (.f64 z t)) (+.f64 (.f64 x y) (.f64 z t))) (.f64 (.f64 a b) (.f64 a b))) (-.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b)))

simplify96.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5137	3304

prune98.0ms

Filtered

83 candidates to 131 candidates (-57.8%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	131	5	136

Merged error: 0b

Counts

136 → 5

regimes152.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	16
1	17	16

end0.0ms

sample893.0ms

Algorithm

intervals

Results

327.0ms	8000×	body	80	valid
156.0ms	3951×	body	80	invalid

Details

analyze1.3s

sample35.0ms

simplify12.0ms

prune1.0ms

localize8.0ms

rewrite11.0ms

series98.0ms

simplify56.0ms

prune21.0ms

localize13.0ms

rewrite39.0ms

series837.0ms

simplify66.0ms

prune97.0ms

localize20.0ms

rewrite31.0ms

series1.2s

simplify97.0ms

prune91.0ms

localize14.0ms

rewrite55.0ms

series850.0ms

simplify96.0ms

prune98.0ms

regimes152.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample893.0ms

Profiling